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99712410 = 23573741313
BaseRepresentation
bin1011111000101…
…11110110011010
320221121220201020
411330113312122
5201011244120
613521103310
72320353510
oct574276632
9227556636
1099712410
1151315456
1229487b36
1317872935
14d3584b0
158b49640
hex5f17d9a

99712410 has 128 divisors (see below), whose sum is σ = 288658944. Its totient is φ = 21565440.

The previous prime is 99712387. The next prime is 99712421. The reversal of 99712410 is 1421799.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318414 + ... + 318726.

It is an arithmetic number, because the mean of its divisors is an integer number (2255148).

Almost surely, 299712410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99712410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144329472).

99712410 is an abundant number, since it is smaller than the sum of its proper divisors (188946534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99712410 is a wasteful number, since it uses less digits than its factorization.

99712410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 99712410 is about 9985.6101466060. The cubic root of 99712410 is about 463.7134979492.

The spelling of 99712410 in words is "ninety-nine million, seven hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 41 42 70 74 82 105 111 123 185 205 210 222 246 259 287 313 370 410 518 555 574 615 626 777 861 939 1110 1230 1295 1435 1517 1554 1565 1722 1878 2191 2590 2870 3034 3130 3885 4305 4382 4551 4695 6573 7585 7770 8610 9102 9390 10619 10955 11581 12833 13146 15170 21238 21910 22755 23162 25666 31857 32865 34743 38499 45510 53095 57905 63714 64165 65730 69486 76998 81067 89831 106190 115810 128330 159285 162134 173715 179662 192495 243201 269493 318570 347430 384990 405335 449155 474821 486402 538986 810670 898310 949642 1216005 1347465 1424463 2374105 2432010 2694930 2848926 3323747 4748210 6647494 7122315 9971241 14244630 16618735 19942482 33237470 49856205 99712410